What is sin(3x-pi/3) ?

The solution to sin(3x-pi/3) is 1/2 sin(3x)-(sqrt(3))/2 cos(3x)

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simplify sin(3x-pi/3)

simplify

sin (3 x - \frac{π}{3})

\frac{1}{2} sin (3 x) - \frac{3}{2} cos (3 x)

Solution steps

sin (3 x - \frac{π}{3})

Rewrite using trig identities

= \frac{1}{2} sin (3 x) - \frac{3}{2} cos (3 x)

cos (θ + π)

cos (arcsin (6 x))

\frac{1}{sec ^{2} ( θ ) - 1}

cos (arcsin (- 2 x))

cos (x + 3 0^{\circ})

What is sin(3x-pi/3) ?
The solution to sin(3x-pi/3) is 1/2 sin(3x)-(sqrt(3))/2 cos(3x)